Finite Group Databasebeta

← C11×#33556 #14610749

Subgroups — C11×#33556 #14610749

Order 2816.

1134 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3540C211yesmaximal, characteristic, complemented
2C11×#3028C211yesmaximal, characteristic, complemented
3C11×#3025C211yesmaximal, characteristic, complemented
4C11×#3021C211yesmaximal, characteristic, complemented
5C11×#2200C214yesmaximal, complemented
6C11×#2198C214yesmaximal, complemented
7C11×#2128C211yesmaximal, characteristic, complemented
8C11×#2123C211yesmaximal, characteristic, complemented
9C11×#2120C211yesmaximal, characteristic, complemented
10C11×#585C2211yescharacteristic
11C2×C11×AGL(1,ℤ/8)—21no—
12C11×H(3,𝔽4)—21no—
13C11×#560C2212yescomplemented
14C11×#559C2212yescomplemented
15C11×#556—21no—
16C11×#555—21no—
17C11×#551—21no—
18C11×#548—21no—
19C11×#546—21no—
20C11×#542—22no—
21C11×#542—21no—
22C11×#538—22no—
23C11×#536—21no—
24C11×#536C2211yescharacteristic
25C11×#535C2211yescharacteristic
26C11×#525—21no—
27C11×#525—21no—
28C11×#525C2211yescharacteristic
29C11×#458—21no—
30C11×#458—22no—
31C11×#458C2212yescomplemented
32C11×#458C2214yescomplemented
33C11×B(4,𝔽2)—21no—
34C11×B(4,𝔽2)C2212yescomplemented
35C11×#454—22no—
36C11×#453C2214yes—
37C11×#421—21no—
38C11×#413C2211yescharacteristic
39C11×#410—21no—
40C11×#410—21no—
41C11×#410C2211yescharacteristic
42C11×#410C2211yescharacteristic
43C11×#353C2214yescomplemented
44C11×#352C2214yescomplemented
45C11×#352C2212yescomplemented
46C11×AΣL(1,𝔽16)C2212yescomplemented
47C11×2−1+4—21no—
48C11×2−1+4—41no—
49C11×H(5,𝔽2)—21no—
50C11×H(5,𝔽2)—21no—
51C11×H(5,𝔽2)—41no—
52C11×H(5,𝔽2)C2312yes—
53C2×C11×#41—21no—
54C2×C11×#41—21no—
55C2×C11×#41—21no—
56C2×C11×#41—21no—
57C2×C11×#41—42no—
58C2×C11×#41C2311yescharacteristic
59C22×Q8×C11D411yescharacteristic, complemented
60C22×D4×C11D411yescharacteristic, complemented
61C23×C4×C11D411yescharacteristic
62C11×AGL(1,ℤ/8)—24no—
63C11×AGL(1,ℤ/8)—42no—
64C2×C11×SD16—41no—
65C2×C11×D8—41no—
66C2×C11×M16—21no—
67C11×C4⋊Q8—21no—
68C11×C4⋊Q8—21no—
69C11×C4⋊Q8—41no—
70C11×#127C2312yes—
71C11×#126—22no—
72C11×#126—22no—
73C11×#126—22no—
74C11×#124—22no—
75C11×#124—21no—
76C11×#124—22no—
77C11×#124—22no—
78C11×#124—21no—
79C11×#124—22no—
80C11×#124—22no—
81C11×#124—41no—
82C11×#124D412yescomplemented
83C11×#123—22no—
84C11×#123—22no—
85C11×#123—22no—
86C11×#123—22no—
87C11×#123—24no—
88C11×#123D411yescharacteristic
89C11×#123D412yescomplemented
90C11×#123C2311yescharacteristic
91C11×#123C2312yes—
92C11×C22⋊Q8—21no—
93C11×C22⋊Q8—22no—
94C11×C22⋊Q8—22no—
95C11×C22⋊Q8—21no—
96C11×C22⋊Q8—21no—
97C11×C22⋊Q8—21no—
98C11×C22⋊Q8—42no—
99C11×C22⋊Q8—41no—
100C11×#121—21no—
101C11×#121—21no—
102C11×#121—22no—
103C11×#121—21no—
104C11×#121—21no—
105C11×#121—22no—
106C11×#121—22no—
107C11×#121—41no—
108C11×#120—22no—
109C11×#120—22no—
110C11×#120—21no—
111C11×#120—21no—
112C11×#120—22no—
113C11×#120D411yescharacteristic
114C11×#120C2311yescharacteristic
115C4×Q8×C11—21no—
116C4×Q8×C11—22no—
117C4×D4×C11—22no—
118C4×D4×C11—21no—
119C4×D4×C11—22no—
120C4×D4×C11—21no—
121C4×D4×C11—21no—
122C4×D4×C11—22no—
123C4×D4×C11—42no—
124C11×#117—21no—
125C11×#117—22no—
126C11×#117—21no—
127C11×#117—21no—
128C11×#117D411yescharacteristic
129C11×#117D411yescharacteristic, complemented
130C11×#117D411yescharacteristic, complemented
131C2×C11×C22⋊C4—22no—
132C11×#104—24no—
133C11×#101—21no—
134C11×#100C2312yes—
135C11×#99—21no—
136C11×#99—21no—
137C11×#99—22no—
138C11×#99—22no—
139C11×#99—24no—
140C11×#99C2312yes—
141C11×#99C2312yes—
142#33556C1111yesmaximal, characteristic, direct product factor, Sylow
143C24×C11—21no—
144C24×C11C2×D411yescharacteristic
145C11×#41—22no—
146C11×#41—22no—
147C11×#41—41no—
148C11×#41—41no—
149C11×#41—42no—
150C11×#41—41no—
151C11×#41—41no—
152C11×#41—41no—
153C11×#41—41no—
154C11×#41—41no—
155C11×#41—42no—
156C11×#41—42no—
157C11×#41—42no—
158C11×#41—41no—
159C11×#41—41no—
160C11×#41—41no—
161C11×#41—81no—
162C11×#41—81no—
163C2×Q8×C11—21no—
164C2×Q8×C11—21no—
165C2×Q8×C11—22no—
166C2×Q8×C11—21no—
167C2×Q8×C11—21no—
168C2×Q8×C11—21no—
169C2×Q8×C11—41no—
170C2×Q8×C11—41no—
171C2×Q8×C11—42no—
172C2×Q8×C11C2×D411yescharacteristic
173C2×D4×C11—21no—
174C2×D4×C11—21no—
175C2×D4×C11—21no—
176C2×D4×C11—22no—
177C2×D4×C11—22no—
178C2×D4×C11—22no—
179C2×D4×C11—22no—
180C2×D4×C11—21no—
181C2×D4×C11—22no—
182C2×D4×C11—22no—
183C2×D4×C11—21no—
184C2×D4×C11—21no—
185C2×D4×C11—41no—
186C2×D4×C11—41no—
187C2×D4×C11—42no—
188C2×D4×C11—42no—
189C2×D4×C11—42no—
190C2×D4×C11—41no—
191C2×D4×C11—42no—
192C2×D4×C11C2×D411yescharacteristic
193C2×D4×C11C2×D411yescharacteristic
194C2×D4×C11C2×D412yes—
195C2×D4×C11C2411yescharacteristic
196C22×C4×C11—22no—
197C22×C4×C11—22no—
198C22×C4×C11—22no—
199C22×C4×C11—22no—
200C22×C4×C11—21no—
201C22×C4×C11—21no—
202C22×C4×C11—41no—
203C22×C4×C11—41no—
204C22×C4×C11—41no—
205C22×C4×C11C2×D411yescharacteristic
206C22×C4×C11C2×D411yescharacteristic
207C22×C4×C11C2×D411yescharacteristic
208C22×C4×C11C2×D411yescharacteristic
209C22×C4×C11C2×D412yes—
210C11×SD16—44no—
211C11×D8—44no—
212C11×M16—22no—
213C11×M16—41no—
214C2×C8×C11—41no—
215C11×C4⋊C4—22no—
216C11×C4⋊C4—22no—
217C11×C4⋊C4—22no—
218C11×C4⋊C4—21no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—22no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—22no—
225C11×C4⋊C4—41no—
226C11×C4⋊C4—41no—
227C11×C4⋊C4—42no—
228C11×C4⋊C4—44no—
229C11×C22⋊C4—22no—
230C11×C22⋊C4—22no—
231C11×C22⋊C4—22no—
232C11×C22⋊C4—22no—
233C11×C22⋊C4—22no—
234C11×C22⋊C4—22no—
235C11×C22⋊C4—21no—
236C11×C22⋊C4—22no—
237C11×C22⋊C4—21no—
238C11×C22⋊C4—21no—
239C11×C22⋊C4—22no—
240C11×C22⋊C4—22no—
241C11×C22⋊C4—22no—
242C11×C22⋊C4—21no—
243C11×C22⋊C4—21no—
244C11×C22⋊C4—22no—
245C11×C22⋊C4—22no—
246C11×C22⋊C4—42no—
247C11×C22⋊C4—42no—
248C11×C22⋊C4—44no—
249C11×C22⋊C4C2×D411yescharacteristic
250C11×C22⋊C4C2×D411yescharacteristic
251C11×C22⋊C4C2×D412yes—
252C42×C11—22no—
253C42×C11—22no—
254C42×C11—21no—
255C42×C11—21no—
256C42×C11—41no—
257C42×C11—41no—
258C42×C11C2×D412yes—
259#3540C2×C1111yescharacteristic, complemented
260#3028C2×C1111yescharacteristic, complemented
261#3025C2×C1111yescharacteristic, complemented
262#3021C2×C1111yescharacteristic, complemented
263#2200C2×C1114yescomplemented
264#2198C2×C1114yescomplemented
265#2128C2×C1111yescharacteristic, complemented
266#2123C2×C1111yescharacteristic, complemented
267#2120C2×C1111yescharacteristic, complemented
268C23×C11—22no—
269C23×C11—22no—
270C23×C11—21no—
271C23×C11—22no—
272C23×C11—41no—
273C23×C11—41no—
274C23×C11—81no—
275C23×C11—81no—
276C23×C11—82no—
277C23×C11#12011yescharacteristic
278C23×C11C22×D411yescharacteristic
279C23×C11C22×D411yescharacteristic
280Q8×C11—22no—
281Q8×C11—41no—
282Q8×C11—41no—
283Q8×C11—41no—
284Q8×C11—41no—
285Q8×C11—41no—
286Q8×C11—41no—
287Q8×C11—81no—
288Q8×C11—82no—
289D4×C11—22no—
290D4×C11—41no—
291D4×C11—41no—
292D4×C11—41no—
293D4×C11—42no—
294D4×C11—41no—
295D4×C11—41no—
296D4×C11—42no—
297D4×C11—42no—
298D4×C11—42no—
299D4×C11—42no—
300D4×C11—41no—
301D4×C11—41no—
302D4×C11—41no—
303D4×C11—81no—
304D4×C11—82no—
305D4×C11—82no—
306D4×C11—82no—
307D4×C11—81no—
308D4×C11—82no—
309D4×C11—84no—
310C2×C4×C11—21no—
311C2×C4×C11—21no—
312C2×C4×C11—21no—
313C2×C4×C11—21no—
314C2×C4×C11—21no—
315C2×C4×C11—21no—
316C2×C4×C11—22no—
317C2×C4×C11—22no—
318C2×C4×C11—21no—
319C2×C4×C11—22no—
320C2×C4×C11—22no—
321C2×C4×C11—21no—
322C2×C4×C11—22no—
323C2×C4×C11—21no—
324C2×C4×C11—42no—
325C2×C4×C11—42no—
326C2×C4×C11—42no—
327C2×C4×C11—41no—
328C2×C4×C11—42no—
329C2×C4×C11—41no—
330C2×C4×C11—41no—
331C2×C4×C11—41no—
332C2×C4×C11—42no—
333C2×C4×C11—42no—
334C2×C4×C11—42no—
335C2×C4×C11—81no—
336C2×C4×C11—82no—
337C2×C4×C11—82no—
338C2×C4×C11#12011yescharacteristic
339C2×C4×C11#12011yescharacteristic
340C2×C4×C11#12011yescharacteristic
341C2×C4×C11C22×D411yescharacteristic
342C8×C11—42no—
343#585C22×C1111yescharacteristic
344C2×AGL(1,ℤ/8)—21no—
345H(3,𝔽4)—21no—
346#560C22×C1112yescomplemented
347#559C22×C1112yescomplemented
348#556—21no—
349#555—21no—
350#551—21no—
351#548—21no—
352#546—21no—
353#542—22no—
354#542—21no—
355#538—22no—
356#536—21no—
357#536C22×C1111yescharacteristic
358#535C22×C1111yescharacteristic
359#525—21no—
360#525—21no—
361#525C22×C1111yescharacteristic
362#458—21no—
363#458—22no—
364#458C22×C1112yescomplemented
365#458C22×C1114yescomplemented
366B(4,𝔽2)—21no—
367B(4,𝔽2)C22×C1112yescomplemented
368#454—22no—
369#453C22×C1114yes—
370#421—21no—
371#413C22×C1111yescharacteristic
372#410—21no—
373#410—21no—
374#410C22×C1111yescharacteristic
375#410C22×C1111yescharacteristic
376#353C22×C1114yescomplemented
377#352C22×C1112yescomplemented
378#352C22×C1114yescomplemented
379AΣL(1,𝔽16)C22×C1112yescomplemented
380C22×C11—21no—
381C22×C11—21no—
382C22×C11—21no—
383C22×C11—41no—
384C22×C11—41no—
385C22×C11—41no—
386C22×C11—42no—
387C22×C11—41no—
388C22×C11—41no—
389C22×C11—42no—
390C22×C11—42no—
391C22×C11—42no—
392C22×C11—41no—
393C22×C11—42no—
394C22×C11—82no—
395C22×C11—82no—
396C22×C11—81no—
397C22×C11—161no—
398C22×C11—162no—
399C22×C11C2×#12011yescharacteristic
400C4×C11—21no—
401C4×C11—21no—
402C4×C11—21no—
403C4×C11—41no—
404C4×C11—42no—
405C4×C11—42no—
406C4×C11—41no—
407C4×C11—42no—
408C4×C11—41no—
409C4×C11—42no—
410C4×C11—82no—
411C4×C11—82no—
412C4×C11B(4,𝔽2)11yescharacteristic
413C4×C11B(4,𝔽2)11yescharacteristic
4142−1+4—21no—
4152−1+4—41no—
416H(5,𝔽2)—21no—
417H(5,𝔽2)—21no—
418H(5,𝔽2)—41no—
419H(5,𝔽2)C23×C1112yes—
420C2×#41—21no—
421C2×#41—21no—
422C2×#41—21no—
423C2×#41—21no—
424C2×#41—42no—
425C2×#41C23×C1111yescharacteristic
426C22×Q8D4×C1111yescharacteristic, complemented
427C22×D4D4×C1111yescharacteristic, complemented
428C23×C4D4×C1111yescharacteristic
429AGL(1,ℤ/8)—24no—
430AGL(1,ℤ/8)—42no—
431C2×SD16—41no—
432C2×D8—41no—
433C2×M16—21no—
434C4⋊Q8—21no—
435C4⋊Q8—21no—
436C4⋊Q8—41no—
437#127C23×C1112yes—
438#126—22no—
439#126—22no—
440#126—22no—
441#124—22no—
442#124—21no—
443#124—22no—
444#124—22no—
445#124—21no—
446#124—22no—
447#124—22no—
448#124—41no—
449#124D4×C1112yescomplemented
450#123—22no—
451#123—22no—
452#123—22no—
453#123—22no—
454#123—24no—
455#123D4×C1111yescharacteristic
456#123D4×C1112yescomplemented
457#123C23×C1111yescharacteristic
458#123C23×C1112yes—
459C22⋊Q8—21no—
460C22⋊Q8—22no—
461C22⋊Q8—22no—
462C22⋊Q8—21no—
463C22⋊Q8—21no—
464C22⋊Q8—21no—
465C22⋊Q8—42no—
466C22⋊Q8—41no—
467#121—21no—
468#121—21no—
469#121—22no—
470#121—21no—
471#121—21no—
472#121—22no—
473#121—22no—
474#121—41no—
475#120—22no—
476#120—22no—
477#120—21no—
478#120—21no—
479#120—22no—
480#120D4×C1111yescharacteristic
481#120C23×C1111yescharacteristic
482C4×Q8—21no—
483C4×Q8—22no—
484C4×D4—22no—
485C4×D4—21no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—22no—
490C4×D4—42no—
491#117—21no—
492#117—22no—
493#117—21no—
494#117—21no—
495#117D4×C1111yescharacteristic
496#117D4×C1111yescharacteristic, complemented
497#117D4×C1111yescharacteristic, complemented
498C2×C22⋊C4—22no—
499#104—24no—
500#101—21no—
501#100C23×C1112yes—
502#99—21no—
503#99—21no—
504#99—22no—
505#99—22no—
506#99—24no—
507#99C23×C1112yes—
508#99C23×C1112yes—
509C2×C11—21no—
510C2×C11—41no—
511C2×C11—41no—
512C2×C11—41no—
513C2×C11—81no—
514C2×C11—82no—
515C2×C11—82no—
516C2×C11C2×B(4,𝔽2)11yescharacteristic
517C24—21no—
518C24C2×D4×C1111yescharacteristic
519#41—22no—
520#41—22no—
521#41—41no—
522#41—41no—
523#41—42no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—41no—
528#41—41no—
529#41—42no—
530#41—42no—
531#41—42no—
532#41—41no—
533#41—41no—
534#41—41no—
535#41—81no—
536#41—81no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—22no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—21no—
543C2×Q8—41no—
544C2×Q8—41no—
545C2×Q8—42no—
546C2×Q8C2×D4×C1111yescharacteristic
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—21no—
555C2×D4—22no—
556C2×D4—22no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—41no—
560C2×D4—41no—
561C2×D4—42no—
562C2×D4—42no—
563C2×D4—42no—
564C2×D4—41no—
565C2×D4—42no—
566C2×D4C2×D4×C1111yescharacteristic
567C2×D4C2×D4×C1111yescharacteristic
568C2×D4C2×D4×C1112yes—
569C2×D4C24×C1111yescharacteristic
570C22×C4—22no—
571C22×C4—22no—
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—21no—
575C22×C4—21no—
576C22×C4—41no—
577C22×C4—41no—
578C22×C4—41no—
579C22×C4C2×D4×C1111yescharacteristic
580C22×C4C2×D4×C1111yescharacteristic
581C22×C4C2×D4×C1111yescharacteristic
582C22×C4C2×D4×C1111yescharacteristic
583C22×C4C2×D4×C1112yes—
584SD16—44no—
585D8—44no—
586M16—22no—
587M16—41no—
588C2×C8—41no—
589C4⋊C4—22no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—22no—
597C4⋊C4—21no—
598C4⋊C4—22no—
599C4⋊C4—41no—
600C4⋊C4—41no—
601C4⋊C4—42no—
602C4⋊C4—44no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—21no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—42no—
621C22⋊C4—42no—
622C22⋊C4—44no—
623C22⋊C4C2×D4×C1111yescharacteristic
624C22⋊C4C2×D4×C1111yescharacteristic
625C22⋊C4C2×D4×C1112yes—
626C42—22no—
627C42—22no—
628C42—21no—
629C42—21no—
630C42—41no—
631C42—41no—
632C42C2×D4×C1112yes—
633C11#3355611yescharacteristic, direct product factor, Sylow
634C23—22no—
635C23—22no—
636C23—21no—
637C23—22no—
638C23—41no—
639C23—41no—
640C23—81no—
641C23—81no—
642C23—82no—
643C23C11×#12011yescharacteristic
644C23C22×D4×C1111yescharacteristic
645C23C22×D4×C1111yescharacteristic
646Q8—22no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—81no—
654Q8—82no—
655D4—22no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—81no—
670D4—82no—
671D4—82no—
672D4—82no—
673D4—81no—
674D4—82no—
675D4—84no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—22no—
689C2×C4—21no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—81no—
702C2×C4—82no—
703C2×C4—82no—
704C2×C4C11×#12011yescharacteristic
705C2×C4C11×#12011yescharacteristic
706C2×C4C11×#12011yescharacteristic
707C2×C4C22×D4×C1111yescharacteristic
708C8—42no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—42no—
716C22—41no—
717C22—41no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—41no—
722C22—42no—
723C22—82no—
724C22—82no—
725C22—81no—
726C22—161no—
727C22—162no—
728C22C2×C11×#12011yescharacteristic
729C4—21no—
730C4—21no—
731C4—21no—
732C4—41no—
733C4—42no—
734C4—42no—
735C4—41no—
736C4—42no—
737C4—41no—
738C4—42no—
739C4—82no—
740C4—82no—
741C4C11×B(4,𝔽2)11yescharacteristic
742C4C11×B(4,𝔽2)11yescharacteristic
743C2—21no—
744C2—41no—
745C2—41no—
746C2—41no—
747C2—81no—
748C2—82no—
749C2—82no—
750C2C2×C11×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C11C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C11
LCSG ▷ C2×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C11 ◁ C2×C4×C11 ◁ C2×C11×#41 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C11×#3540C2semidirect
2. C11×#3028C2semidirect
3. C11×#3025C2semidirect
4. C11×#3021C2semidirect
5. C11×#2200C2semidirect
6. C11×#2198C2semidirect
7. C11×#2128C2semidirect
8. C11×#2123C2semidirect
9. C11×#2120C2semidirect
13. C11×#560C22semidirect
14. C11×#559C22semidirect
31. C11×#458C22semidirect
32. C11×#458C22semidirect
34. C11×B(4,𝔽2)C22semidirect
43. C11×#353C22semidirect
44. C11×#352C22semidirect
45. C11×#352C22semidirect
46. C11×AΣL(1,𝔽16)C22semidirect
59. C22×Q8×C11D4semidirect
60. C22×D4×C11D4semidirect
82. C11×#124D4semidirect
89. C11×#123D4semidirect
129. C11×#117D4semidirect
130. C11×#117D4semidirect
142. #33556C11direct (N × H)
259. #3540C2×C11semidirect
260. #3028C2×C11semidirect
261. #3025C2×C11semidirect
262. #3021C2×C11semidirect
263. #2200C2×C11semidirect
264. #2198C2×C11semidirect
265. #2128C2×C11semidirect
266. #2123C2×C11semidirect
267. #2120C2×C11semidirect
346. #560C22×C11semidirect
347. #559C22×C11semidirect
364. #458C22×C11semidirect
365. #458C22×C11semidirect
367. B(4,𝔽2)C22×C11semidirect
376. #353C22×C11semidirect
377. #352C22×C11semidirect
378. #352C22×C11semidirect
379. AΣL(1,𝔽16)C22×C11semidirect
426. C22×Q8D4×C11semidirect
427. C22×D4D4×C11semidirect
449. #124D4×C11semidirect
456. #123D4×C11semidirect
496. #117D4×C11semidirect
497. #117D4×C11semidirect
633. C11#33556direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C11×#35402
C11×#30282
C11×#30252
C11×#30212
C11×#22002
C11×#21982
C11×#21282
C11×#21232
C11×#21202
#3355611